El costo de un teléfono celular con un descuento del 30% sobre el precio de lista, está dado por p(x)= x-0.30x. El impuesto a pagar por un artículo que cuesta x pesos está dado por i(x)= 0.15x.
a) Hallar e interpretar i(p(x))
b) ¿cuánto pagarás por un teléfono cuyo precio de lista es de $1,200?
-5x+9=24
WILL GIVE BRAINLIEST
Answer:
x = -3
Step-by-step explanation:
24-9= 15
15/-5=-3
Answer:
-3.
Step-by-step explanation:
-5 x -3 = 15
15 + 9 = 24
Hope I helped, Have a good day!
write an equation of the line that passes through the given points (3,1) (0,10)
Answer:
y = -3x + 10
Step-by-step explanation:
10-1/0-3 = -3
y = -3x + b
1 = -3(3) + b
1 = -9 + b
10 = b
check your answer:
10 = -3(0) + 10
10 = 10
b should be 10
12b2 - 27 = 0
what is the solution
12b² - 27 = 0 / : 3
4b² - 9 = 0
4b² = 9 / : 4
b² = 2,25
b = 1,5 and b = -1,5
Help, Help, Please
[tex] \sf find \: the \: value \: of \: \theta \: when \: \theta \: is \: acute\: angle[/tex]
[tex] \sf \cos^{2}(\theta) - \sin^{2}(\theta) =2-5 \cos(\theta) [/tex]
[tex]\text{note:explanation is a must}[/tex]
Answer:
θ = [tex]\frac{\pi }{3}[/tex] (60° )
Step-by-step explanation:
Using the identity
sin²x + cos²x = 1 ⇒ sin²x = 1 - cos²x
Given
cos²θ - sin²θ = 2 - 5cosθ
cos²θ - (1 - cos²θ) = 2 - 5cosθ
cos²θ - 1 + cos²θ = 2 - 5cosθ
2cos²θ - 1 = 2 - 5cosθ ( subtract 2 - 5cosθ from both sides )
2cos²θ + 5cosθ - 3 = 0 ← in standard form
(cosθ + 3)(2cosθ - 1) = 0 ← in factored form
Equate each factor to zero and solve for θ
cosθ + 3 = 0
cosθ = - 3 ← not possible as - 1 ≤ cosθ ≤ 1
2cosθ - 1 = 0
cosθ = [tex]\frac{1}{2}[/tex] , so
θ = [tex]cos^{-1}[/tex] ([tex]\frac{1}{2}[/tex] ) = [tex]\frac{\pi }{3}[/tex] ( or 60° )
Answer:
[tex] \huge \boxed{ \boxed{\blue{ { \theta = 60}^{ \circ} }}}[/tex]
Step-by-step explanation:
to understand thisyou need to know about:trigonometryPEMDASlet's solve:[tex] \sf \: rewrite \: \sin ^{2} ( \theta) \: as \: 1 - \cos ^{2} ( \theta) : \\ \sf \implies \: \cos ^{2} ( \theta) - (1 - \cos ^{2} ( \theta)) = 2 - 5 \cos( \theta) [/tex][tex] \sf \: remove \: parentheses \: and \: change \: its \: sign : \\ \sf \implies \: \cos ^{2} ( \theta) - 1 + \cos ^{2} ( \theta)) = 2 - 5 \cos( \theta) [/tex][tex] \sf \: add : \\ \sf \implies \: 2\cos ^{2} ( \theta) - 1 = 2 - 5 \cos( \theta) [/tex][tex] \sf \: move \: left \: hand \: sides \: expression \: to \: right \: hand \: sides \: : \\ \sf \implies \: 2\cos ^{2} ( \theta) + 5 \cos( \theta) - 1 -2 = 0[/tex][tex] \sf \: rewrite \: 5\cos( \theta) \: as \: 6 \cos( \theta) - \cos( \theta) : \\ \sf \implies \: 2\cos ^{2} ( \theta) + 6 \cos( \theta) - \cos( \theta) - 3 = 0[/tex][tex] \sf \:factor \: out \: 2 \cos( \theta) \: and \: - 1 : \\ \sf \implies \: 2\cos ( \theta)( \cos( \theta) + 3 ) -1( \cos( \theta) + 3) = 0[/tex][tex] \sf \: group: \\ \sf \implies \: (2\cos( \theta) - 1) ( \cos( \theta) + 3 ) = 0[/tex][tex] \sf \: rewrite \: as \: two \: seperate \: equation: \\ \sf \implies \: \begin{cases}2\cos( \theta) - 1 = 0\\ \cos( \theta) + 3 = 0 \end{cases} [/tex][tex]\sf add \: 1 \: to \: the\: first \: equation \: and \: substract \: 3 \: from \: the \: second \: equation: \\ \sf \implies \: \begin{cases}2\cos( \theta) = 1\\ \cos( \theta) = - 3 \end{cases} [/tex][tex] \sf the \: second \: eqution \: is \: false \: \\ \sf because \: - 1 \leqslant \cos( \theta) \leqslant 1 \: \\ \sf but \: we \: can \: still \: work \: with \: the \: second \: equation[/tex]
[tex] \sf substract \: both \: sides \: by \: 2 : \\ \implies\frac{ 2\cos( \theta) }{2} = \frac{1}{2} \\ \implies\cos( \theta) = \frac{1}{2} \\ \therefore \: \theta \: = {60}^{ \circ} [/tex]Question 16
What is the slope of a line passing through (2, 2) and (3,5)?
5 because of slope equation
John runs 6.5 miles in 30 minutes. If he continues at this rate for 1 hours, determine his rate of change .
Answer: 13 miles
Step-by-step explanation:
30 min plue 30 min is 1 hour
if he runs 6.5 in 30 you just have to add 6.5 and 6.5 which equals 13
Ram gives his son 100 naira on one day, 50 naira on the second day, 25 naira on the third day and so on. What will be the total amount given by Ram to his son starting from the first day, if he lives forever?
Answer:
175+(25*∞d)
Step-by-step explanation:
So d will represent the days which we don't know yet
100 + 50 + 25 + 25d
175+25d
and in this case it will be infinite the amount of days so
175+(25*∞d)
The total amount given by Ram to his son starting from the first day, if he lives forever is 200 nairas.
Given,
Ram gives his son 100 nairas on one day, 50 nairas on the second day, 25 nairas on the third day, and so on.
We need to find what will be the total amount given by Ram to his son starting from the first day if he lives forever.
What is a geometric sequence?It is a sequence where each term after the first term is found by multiplying the previous terms by a common ratio.
Example:
2, 4, 8, 16, 32
Common ratio = 4/2 = 8/4 = 16/8 = 2
The sum of the nth term of a geometric sequence is given by:
S = a [ [tex]r^{n}[/tex]- 1 ) / ( r - 1 ) ] if r > 1 ______(1)
S = a [ 1 - [tex]r^{n}[/tex] ) / ( 1 - r ) ] if r < 1 _______(2)
We see that,
Ram gives his son 100 nairas on one day, 50 nairas on the second day, 25 nairas on the third day, and so on.
This is a geometric sequence.
Find the sequence.
100, 50, 25, ,,,,,,, ∞
Here,
The common ratio is:
r = 50 / 100 = 25/50 = 1/2
i.e r < 1
Find the sum of at ∞.
Now,
a = 100
r = 1/2
n = ∞
From (2)
S = a [ 1 - [tex]r^{n}[/tex] ) / ( 1 - r ) ]
S = 100 [ 1 - 0 ] / (1 - 0.5 ) ]
S = 100 [ 1 / 0.5 ]
S = 100 / 0.5
S = 200
Thus the total amount given by Ram to his son starting from the first day, if he lives forever is 200 nairas.
Learn more about geometric sequences here:
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someone help please ⠀
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⠀
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Answer:
3/5 = 0.6 = 60%
16/25 = 0.64 = 64%
11/20 = 0.55 = 55%
4/25 = 0.16 = 16%
17/100 = 0.17 = 17%
7/20 = 0.35 = 35%
here is a list of numbers 21,22,23,24,25,26,27,28,29
Answer:
30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,8,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100
Step-by-step explanation:
100!
pls help! ill give brainless to the best answer !!
what is 25% of 75? show your work.
Answer:
18.75
Step-by-step explanation:
25% of 75 =
0.25 x 75 =
18.75
Hope that helps!
Answer:
18.75
Step-by-step explanation: I don't really know what work to show it was all mental
Write an equation in point-slope form of the line that passes through the point (5, 1) and has a slope of -3
Answer:
y - 1 = -3(x - 5)Step-by-step explanation:
An equation in point-slope form of the line that passes through the point (x₁,y₁) and has a slope of m:
y - y₁ = m(x - x₁)
m = -3
(5, 1) ⇒ x₁ = 5, y₁ = 1
Therefore:
y - 1 = -3(x - 5)
Arcola bought 8 virtual reality headsets for $400 each and 8 laptops for
$500 each. How much total money did Arcola spend?
Answer:
arcola spent 916 dollars
Answer:
the answer is 916
Step-by-step explanation:
A 78 gram sample of Uranium loses half of its mass each year. What is the Exponential equation??
A.
[tex]y = 78(1.5) {}^{x} [/tex]
B.
[tex]y = 78(0.5) {}^{x} [/tex]
C.
[tex]y = 78(2) {}^{x} [/tex]
Answer: B , 78(0.5) ^x
Step-by-step explanation: it’s being multiplied by 0.5, which is half.
A train travels 20 miles in 15 minutes. how far will it travel in an hour and a half
Answer:
120
Step-by-step explanation:
One hour is 90 minutes 90/15=6 then you take 20X6=120miles
Answer:
It will travel 120 miles
Step-by-step explanation:
First, convert the hour and half to minutes: 90 minutes.
Then divide 90 with 15: 6
Then since there are 6 sections of 15 minutes, you would multiply 20 times 6 which is 120.
Convert the equation into standard form.
25x2 – 9y2 + 200x + 18y + 166 = 0
StartFraction (x minus 8) squared Over 9 EndFraction minus StartFraction (y + 2) squared Over 25 EndFraction = 1
It's D on edge
Answer:
d
Step-by-step explanation:
it says it in the question lol
Answer:
The answe is D on edge
Step-by-step explanation:
please help asap.1-5.
HELP ME!!! I WILL GIVE BRAINLIEST AND 15 POINTS!!!!!!!!
Evaluate each expression for n = 3, p = 10.5, t = -2, y = 4.
Solve
1.) 3n + 2t
2.) ny - 6 + p
At his after school job, Tommy grossed $4,020 for the year. Based on his
income level, the federal tax rate he'll need to pay is 10%. For his state taxes,
Tommy will need to pay 4.75%. FICA is 7.65%. What is Tommy's net pay for
the year?
A. $3,521.52
O B. $3,119.52
C. $402.00
D. $3,618.00
Answer: B. $3,119.52
Tommy will need to pay 4.75%. FICA is 7.65%. Tommy's net pay of $3,119.52.
At his after-school job, Tommy grossed $4,020 for the year. Based on his income level, the federal tax rate he'll need to pay is 10%. For his state taxes.
What is the federal tax?
The federal income tax is a tax on annual earnings for individuals, businesses, and other legal entities. All wages, salaries, cash gifts from employers, business income, tips, gambling income, bonuses, and unemployment benefits are subject to a federal income tax.
Tommy will need to pay 4.75%. FICA is 7.65%.
Tommy's net pay of $3,119.52.
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Plz, answer this question plz!
Answer:
the second option im pretty sure
Answer:
4/48. I don't know for sure, but I think B is the correct answer
may i get someone who can answer this question. Ruth has 12 feet of ribbon.
She uses 7 feet of it for a craft project and gives 28 inches of it to her sister.
How many inches of ribbon does she have left?
Answer:
2ft 8in
Step-by-step explanation:
Text if you want explanation. Welcome❤
I WILL AWARD BRAILLIEST PLEASE HELP ASAP!!
Giorgio is learning to play the piano. By the end of each month, he has learned 3 new songs.
Part A Graph 5 points on the coordinate plane below that show the total number of songs Giorgio has learned by the end of each month from month 1 to month 5.
Which equation represents the relationship between the independent variable, x , and the dependent variable, y?
Answer: y = 3x
Step-by-step explanation:
The answer is y=3x because every month Giorgio learns a new song. so for the first month they learned 3 songs and in the second month they learn 3 more that adds up to 6 song total, so if you just times the month by 3 you will get your answer.
Answer
the way you have it there is right for the giorgio and for the second one it will be x=3x
HELP PLEASE!! need this asap.
y = 4x + 3
y = -x - 2
Answer:pls check out the image. The answer is in the image ans hope this helps and can u give me brainliest
Step-by-step explanation:
A shop has a slae that offers 20% off all prices On the final day they reduce all the sale prices by 25% Linz buys a radio on the final day Work out the overall percentage reduction on the price of the radio
Answer:
40%
Step-by-step explanation:
We would use an example
assume the price of the radio is 100
After the initial price reduction, it would be worth (100 - 20%) 80% of the price
0.8 x 100 = 80
After second price reduction it would be worth (100 - 25% ) 75% of the price
0.75 x 80 = 60
Price change = (new price after all the discounts / original price) - 1
(60/100) - 1 = -0.4
A organização de um novo campeonato de futebol recebereu inscrição de 14 equipes.Se cada equipe tinha 12 jogadores,quantos atletas se inscreveram?
Answer:
168 jugadores.
Step-by-step explanation:
De la pregunta anterior:
Tenemos 14 equipos
1 equipo = 12 jugadores
14 equipos = x jugadores
Multiplicar cruzada
1 equipo × x jugadores = 14 equipos × 12 jugadores
x jugadores = 14 equipos × 12 jugadores / 1 equipo
x jugadores = 168 jugadores
Por tanto, se unirán 168 jugadores.
james bought an ipad for $450 his friends carl buys the same one for 12% off how much did carl pay
Answer:
$365.99
Step-by-step explanation:
$450 - 12% = $365.99
what is the exact value of cos5pie/12
Answer:
Exact Form: −e12
Decimal Form: −0.22652348…
Step-by-step explanation:
slope of 1/2 and y-intercept is -5.
Answer:
Y= 1/2x-5
Step-by-step explanation:
a car accelerates from 25 km/hr to 55 km/hr in 30 seconds. what is its accelerates ?
Here's link to the answer:
tinyurl.com/wpazsebu
Order the following numbers from least to greatest : 2.67 5.28 1.73 4.92 2.56
Answer:
is this helpful i hope it is
